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18525387664 = 247248612
BaseRepresentation
bin10001010000001100…
…101111101110010000
31202211001210012102001
4101100030233232100
5300414444401124
612302131203344
71224035124400
oct212014575620
952731705361
1018525387664
117947109a43
123710146554
131993034164
14c7a510800
15736588b44
hex45032fb90

18525387664 has 45 divisors (see below), whose sum is σ = 41761601361. Its totient is φ = 7937818560.

The previous prime is 18525387637. The next prime is 18525387677. The reversal of 18525387664 is 46678352581.

It is a happy number.

The square root of 18525387664 is 136108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17032338064 + 1493049600 = 130508^2 + 38640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3808594 + ... + 3813454.

Almost surely, 218525387664 is an apocalyptic number.

18525387664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18525387664 is the 136108-th square number.

It is an amenable number.

18525387664 is an abundant number, since it is smaller than the sum of its proper divisors (23236213697).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18525387664 is an frugal number, since it uses more digits than its factorization.

18525387664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 4870 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The spelling of 18525387664 in words is "eighteen billion, five hundred twenty-five million, three hundred eighty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4861 9722 19444 34027 38888 68054 77776 136108 238189 272216 476378 544432 952756 1905512 3811024 23629321 47258642 94517284 165405247 189034568 330810494 378069136 661620988 1157836729 1323241976 2315673458 2646483952 4631346916 9262693832 18525387664